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Dergiler / International Electronic Journal of Geometry / 2013 / Cilt: 6 - Sayı: 2

CONNECTIONS AND SECOND ORDER DIFFERENTIAL EQUATIONS ON INFINITE DIMENSIONAL MANIFOLDS

Ali SURI
Mansour AGHASI
Sayfa
45–56
Yayın Tarihi
2013-10-30
DOI
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SURI, A., AGHASI, M. (2013). CONNECTIONS AND SECOND ORDER DIFFERENTIAL EQUATIONS ON INFINITE DIMENSIONAL MANIFOLDS. International Electronic Journal of Geometry, Cilt: 6 - Sayı: 2, 45–56. https://ajindex.com/articles/672165

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Kaynakça (19)

  1. Abbati, M.C. and Mania, A., On differential structure for projective limits of manifolds, J. Geom. Phys. 29(1999), 35-63
  2. Aghasi, M., Dodson, C.T.J., Galanis, G.N. and Suri, A., Infinite dimensional second order ordinary differential equations via T 2M, J. Nonlinear Analysis. 67(2007), 2829-2838
  3. Aghasi, M. and Suri, A., Ordinary differential equations on infinite dimensional manifolds, Balkan journal of geometry and its applications, 12(2007), No. 1, 1-8
  4. Aghasi, M. and Suri, A., Splitting theorems for the double tangent bundles of Fr´echet mani- folds, Balkan journal of geometry and its applications, 15(2010), No.2, 1-13
  5. Ashtekar, A. and Lewandowski, J., Differential geometry on the space of connections via graphs and projective limits, J. Geo. Phys., 17(1995), 191-230
  6. Francesco, B. and Lewis A., Geometric control of mechanical systems, Springer, 2004
  7. Del Riego, L. and Parker, P.E., Geometry of nonlinear connections, J. Nonlinear Analysis, 63(2005), 501-510
  8. Eliasson, H. I., Geometry of manifolds of maps, J. Diff. Geo., 1(1967), 169-194
  9. Galanis, G.N., Differential and Geometric Structure for the Tangent Bundle of a Projective Limit Manifold, Rendiconti del Seminario Matematico di Padova, 112(2004)
  10. Hamilton, R.S., The inverse functions theorem of Nash and Moser, Bull. of Amer. Math. Soc., 7(1982), 65-222
  11. Klingenberg, W., Riemannian geometry, Walter de Gruyter, Berlin, 1995
  12. Lang, S., Fundumentals of differential geometry, Graduate Texts in Mathematics, Vol. 191, Springer-Verlag, New York, 1999
  13. Lee, J.M., Differential and physical geometry, Addison-Wesley, Reading Massachusetts, 1972
  14. Mangiarotti, L. and Sardanashvily, G., Connections in classical and quantum field theory, World scientific
  15. Müller, O., A metric approach to Fr´echet geometry, J. Geo. Phys., 58(2008), Issue 11, 1477- 1500
  16. Omori, H., Infinite-dimensional Lie groups, Translations of Mathematical Monographs
  17. Berlin: American Mathematical Society (1997)
  18. Saunders, D.J., The geometry of jet bundles, Cambridge Univ. Press, Cambridge, 1989
  19. Vilms, J., Connections on tangent bundles, J. Diff. Geom. 1(1967), 235-243.